Biased graphs whose matroids are special binary matroids

DOI10.1007/BF01787483zbMath0786.05020MaRDI QIDQ1813718

Thomas Zaslavsky

Publication date: 25 June 1992

Published in: Graphs and Combinatorics (Search for Journal in Brave)

zbMATH Keywords

binary matroidsliftscyclomatic numberpolygonsbiased graphbias matroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Graph theory (05C99)

Related Items (14)

Matrix representations of frame and lifted-graphic matroids correspond to gain functions ⋮ Projective-planar signed graphs and tangled signed graphs ⋮ A Generalisation of the Matroid Lift Construction ⋮ The biased graphs whose matroids are binary ⋮ Biased graphs IV: Geometrical realizations ⋮ Biased graphs. II: The three matroids ⋮ The Regular Excluded Minors for Signed-Graphic Matroids ⋮ Connectivity in frame matroids ⋮ The Projective Planarity Question for Matroids of $3$-Nets and Biased Graphs ⋮ On perturbations of highly connected dyadic matroids ⋮ On excluded minors of connectivity 2 for the class of frame matroids ⋮ Vertices of Localized Imbalance in a Biased Graph ⋮ On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids ⋮ On cographic matroids and signed-graphic matroids

Cites Work

• Unnamed Item
• Biased graphs. I: Bias, balance, and gains
• The biased graphs whose matroids are binary
• Decomposition of regular matroids
• Signed graphs
• Biased graphs. II: The three matroids
• Kuratowski's and Wagner's theorems for matroids
• Vertices of Localized Imbalance in a Biased Graph
• Characterizations of signed graphs
• On the Abstract Properties of Linear Dependence
• Lectures on matroids

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